Assignment:
A household electricity bill for one month in which 2,494 kWh (kilowatt per hour) were used includes, among other charges, a distribution charge. The bill reads:
Current Charges
Charges for - UTILITIES
Residential Rate: RS for Jun 9 - Jul 12
Distribution Charge:
Customer Charge 6.47
200 KWH at 1.79600000¢ per KWH 3.59
600 KWH at 1.59400000¢ per KWH 9.56
1,694 KWH at 1.47200000¢ per KWH 24.94
Transmission Charge:
2,494 KWH at 0.37700000¢ per KWH 9.40
Transition Charge:
200 KWH at 1.79800000¢ per KWH 3.60
600 KWH at 1.59400000¢ per KWH 9.56
1,694 KWH at 1.47300000¢ per KWH 24.95
Generation Charge:
Capacity and Energy
200 KWH at 4.82600000¢ per KWH 9.65
600 KWH at 4.23800000¢ per KWH 25.43
1,694 KWH at 3.88600000¢ per KWH 65.83
PA Tax Adjustment Surcharge at 0.11818100% 0.23
Total UTILITIES Charges $193.21
Pay This Amount No Later Than Aug 2, 2002 $193.21
Account Balance $193.21
a.Give the total distribution charge when electricity consumption is
(i) 150 kWh, (ii) 755 kWh, (iii) 920 kWh.
b. Describe the function that the utility company uses to find the total distribution charge.
c. Sketch and describe the graph of the function.
d. Give the rate of change of the distribution charge if the electricity consumed changes from 150 to 160 kWh.
e. Give the rate of change of the distribution charge if the electricity consumed changes from 195 to 205 kWh.
f. Give the rate of change of the distribution charge if the electricity consumed changes from 300 to 310 kWh.
Provide complete and step by step solution for the question and show calculations and use formulas.